16Sp-Quiz 6 Solution (4)

# 16Sp-Quiz 6 Solution (4) - IME 524 Prob&Stat II(OPENBOOK...

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IME 524 Prob&Stat II (OPENBOOK) – QUIZ #6 Solution 07 March 2016 The cetane number is a critical property in specifying the ignition quality of a fuel. The following data on x = iodine value (g) and y = cetane number of 14 biofuels were obtained. Fit a simple linear regression line between the independent and dependent variables. x 132. 0 129. 0 120. 0 113.2 105. 0 92. 0 84. 0 83. 2 88. 4 59. 0 80. 0 81. 5 71. 0 69.2 y 46.0 48.0 51.0 52.1 54.0 52. 0 59. 0 58. 7 61. 6 64. 0 61. 4 54. 6 58. 8 58.0 The following partial results are available: 2 2 1307.5, 779.9, 128,913.93, 71,347.30, 43,745.22 i i i i i i x y x x y y 1. Compute the appropriate parameters and write the simple linear regression line based on the above data (show all equations used and all intermediate results). (8 points) 1 2 2 2 1 1424.41429

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